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Graph the system of equations {3x+y=6 -3x-4y=12

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User Sirmak
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1 Answer

5 votes

Answer:

see attached

Explanation:

A graphing calculator can easily show you a graph of these equations. (see attached)

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If you want to graph them by hand, it is convenient to make use of the x- and y-intercepts. For an equation in standard form each of the intercepts is found by dividing the constant by the coefficient of the variable

ax +by = c . . . . . . equation of a line

x-intercept: c/a

y-intercept: c/b

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For the first equation, the intercepts are ...

x-intercept: 6/3 = 2, point (2, 0)

y-intercept: 6/1 = 6, point (0, 6)

For the second equation, the intercepts are ...

x-intercept: 12/-3 = -4, point (-4, 0)

y-intercept: 12/-4 = -3, point (0, -3)

In each case, the line can be drawn through the plotted intercept points.

Graph the system of equations {3x+y=6 -3x-4y=12-example-1
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User SjVnyk
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